Associative property for addition and multiplication

(a+b)+c=a+(b+c) for addition

ab*c=a*bc for multiplication

Distributive property

for any numbers a, b, and c

a(b+c)=ab+ac

Commutative property

In addition and multiplication, the order of the numbers in the operation does not matter.

Least Common Multiple

The smallest number that is a multiple of all the numbers in a set

Find it through prime factorization and multiplication of all the prime factors as many times as they appear for a single number.

Never smaller than the largest number in a set.

Greatest Common Factor

The largest number that is a factor of all numbers in the set.

Find by multiplying all of the common factors in a set of numbers.

Never bigger than the smallest number in a set.

What is the conjugate of

a-bi ?

The conjugate is created by changing the sign of the imaginary part of a complex number.

The conjugate is 

a+bi

Closure property 

Addition: If a and b are real numbers, then a+b is real

Multiplication: if a and b are real, then ab is real

Identity property 

Addition: for any number a

a+0=a 

Multiplication: For any number a

a*1=a

Inverse property

Addition: for any real number a, there is a real number -a such that a+(-a)=0

Multiplication: for any real a, there is a real number 1/a such that

a*(1/a)=1 

Parent function for quadratic function

y=f(x)=x²

Parent function of exponential functions

y=f(x)=b^x

Composite function

For f(x) and g(x)

the composite function is

f(g(x)) or (f º g)(x)

Equation for the nth term of an arithmetic sequence

Sum of the first n terms of a geometric sequence 

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log_b(mn) = 

log_b m + log_b n

log_b (m/n)

log_b m - log_b n

log_b mⁿ

n log_b m

Change a log from base d to base b